Mathematics Homework Solutions
Problem
#8952

Continuous Functions

Where is the function

f(x) = (q^2 - 1)/q^2 if x = p/q meaning x is a rational in reduced form and f(x) = 1 when x is not a rational

continuous in the interval (0,1)?  Please also explain how you came up with the answer.


Solution Summary

The continuity of a given function is investigated across an interval.

Solution
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Changping Wang, MA - 4.9/5
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